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Finding the Fourth Proportional to 1,221.66, 1,825.07 and 779.39

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Solution

The fourth proportional to 1,221.66, 1,825.07 and 779.39 is: 1,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.66 : 1,825.07 = 779.39 : x
  2. Step 2: Convert to fraction form
    1,221.66/1,825.07 = 779.39/x
  3. Step 3: Cross multiply
    1,221.66x = 1,825.07 × 779.39
  4. Step 4: Simplify right side
    1,221.66x = 1,422,441.31
  5. Step 5: Solve for x
    x = 1,422,441.31/1,221.66
  6. Step 6: Final answer
    x = 1,164.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.